Math 171 - Worksheet 22
Question 1
Apply the First Derivative Test to determine the relative extrema of the function
given by f (x) = 4x3 − 6x2 − 72x + 28.
Question 2
2
Find the relative extrema of f (x) = (x2 − 9) 3 using the First Derivative Test.
1
Question 3
4
Determine the relative extrema of f (x) = 4x 2+ 4 using a table of intervals and
x
test vlaues within the respective intervals.
Question 4
2
3x − 4
For the function f (x) = x −
x − 2 , find any critical numbers and the open
intervals on which the function is increasing or decreasing. Then apply the First
Derivative Test to identify all relative exrema.
2